Möbius transformation

名词 n.
中文释义

英文释义

名词 n.
  1. A transformation of the extended complex plane that is a rational function of the form f(z) = (az + b) / (cz + d), where a, b, c, d are complex numbers such that ad − bc ≠ 0; an automorphism of the complex projective line.
    — 2008, J. Vernon Armitage, John Parker, Jørgensen's inequality for Non-Archimedean Metric Spaces, Mikhail Kapranov, Sergii Kolyada, Yu. I. Manin, Pieter Moree, Leonid Potyagailo (editors), Geometry and Dynamics of Groups and Spaces: In Memory of Alexander Reznikov, page 97, Jørgensen's inequality gives a necessary condition for a non-elementary group of Möbius transformations to be discrete.

词形变化

Möbius transformations plural Mobius transformation alternative Moebius transformation alternative

词源

Named for German mathematician and theoretical astronomer August Ferdinand Möbius (1790–1868).
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